cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A378389 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a tetrakis hexahedron.

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%I A378389 #12 Nov 28 2024 11:11:37
%S A378389 2,4,9,8,0,9,1,5,4,4,7,9,6,5,0,8,8,5,1,6,5,9,8,3,4,1,5,4,5,6,2,1,8,0,
%T A378389 2,4,6,1,5,5,6,5,8,8,0,8,2,5,9,7,9,3,4,3,8,1,0,9,3,3,8,4,7,3,5,9,4,3,
%U A378389 0,3,9,3,1,4,7,4,5,8,7,9,0,9,9,1,5,2,1,7,9,8
%N A378389 Decimal expansion of the dihedral angle, in radians, between any two adjacent faces in a tetrakis hexahedron.
%C A378389 The tetrakis hexahedron is the dual polyhedron of the truncated octahedron.
%H A378389 Paolo Xausa, <a href="/A378389/b378389.txt">Table of n, a(n) for n = 1..10000</a>
%H A378389 Wikipedia, <a href="https://en.wikipedia.org/wiki/Tetrakis_hexahedron">Tetrakis hexahedron</a>.
%F A378389 Equals arccos(-4/5).
%F A378389 Equals 2*A195729. - _Amiram Eldar_, Nov 27 2024
%e A378389 2.498091544796508851659834154562180246155658808...
%t A378389 First[RealDigits[ArcCos[-4/5], 10, 100]] (* or *)
%t A378389 First[RealDigits[First[PolyhedronData["TetrakisHexahedron", "DihedralAngles"]], 10, 100]]
%Y A378389 Cf. A378388 (surface area), A374359 (volume - 1), A010532 (inradius*10), A179587 (midradius + 1).
%Y A378389 Cf. A156546 and A195698 (dihedral angles of a truncated octahedron), A195729.
%K A378389 nonn,cons,easy
%O A378389 1,1
%A A378389 _Paolo Xausa_, Nov 27 2024